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We present the result of the Infrared Medium-deep Survey (IMS) $z\sim6$quasar survey, using the combination of the IMS near-infrared images and theCanada-France-Hawaii Telescope Legacy Survey (CFHTLS) optical images. Thetraditional color-selection method results in 25 quasar candidates over $86$deg$^{2}$. We introduce the corrected Akaike Information Criterion (AICc) withthe high-redshift quasar and late-type star models to prioritize the candidatesefficiently. Among the color-selected candidates, seven plausible candidatesfinally passed the AICc selection of which three are known quasars at $z\sim6$.The follow-up spectroscopic observations for the remaining four candidates werecarried out, and we confirmed that two out of four are $z\sim6$ quasars. Withthis complete sample, we revisited the quasar space density at $z\sim6$ down to$M_{1450}\sim-23.5$ mag. Our result supports the low quasar space density atthe luminosity where the quasar's ultraviolet ionizing emissivity peaks,favoring a minor contribution of quasars to the cosmic reionization.

The Infrared Medium-deep Survey. IX. Discovery of Two New $z\sim6$ Quasars and Space Density down to $M_{1450}\sim-23.5$ mag